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Finding the Fourth Proportional to 5,717.89, 7,891.40 and 3,480

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Solution

The fourth proportional to 5,717.89, 7,891.40 and 3,480 is: 4,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.89 : 7,891.40 = 3,480 : x
  2. Step 2: Convert to fraction form
    5,717.89/7,891.40 = 3,480/x
  3. Step 3: Cross multiply
    5,717.89x = 7,891.40 × 3,480
  4. Step 4: Simplify right side
    5,717.89x = 27,462,072
  5. Step 5: Solve for x
    x = 27,462,072/5,717.89
  6. Step 6: Final answer
    x = 4,802.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.